1401040720 has 80 divisors (see below), whose sum is σ = 3456274320. Its totient is φ = 526344192.

The previous prime is 1401040717. The next prime is 1401040723. The reversal of 1401040720 is 270401041.

It is an interprime number because it is at equal distance from previous prime (1401040717) and next prime (1401040723).

It can be written as a sum of positive squares in 8 ways, for example, as 47389456 + 1353651264 = 6884^2 + 36792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401040723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963514 + ... + 964966.

It is an arithmetic number, because the mean of its divisors is an integer number (43203429).

Almost surely, 2^1401040720 is an apocalyptic number.

1401040720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728137160).

1401040720 is an abundant number, since it is smaller than the sum of its proper divisors (2055233600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401040720 is a wasteful number, since it uses less digits than its factorization.

1401040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 1401040720 is about 37430.4784901289. The cubic root of 1401040720 is about 1118.9660738878.

Adding to 1401040720 its reverse (270401041), we get a palindrome (1671441761).

The spelling of 1401040720 in words is "one billion, four hundred one million, forty thousand, seven hundred twenty".