1401200640 has 448 divisors, whose sum is σ = 5724875520. Its totient is φ = 318504960.

The previous prime is 1401200609. The next prime is 1401200659. The reversal of 1401200640 is 460021041.

1401200640 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 20 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741350 + ... + 7741530.

It is an arithmetic number, because the mean of its divisors is an integer number (12778740).

Almost surely, 2^1401200640 is an apocalyptic number.

1401200640 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 1401200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862437760).

1401200640 is an abundant number, since it is smaller than the sum of its proper divisors (4323674880).

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

1401200640 is an equidigital number, since it uses as much as digits as its factorization.

1401200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1401200640 is about 37432.6146562059. The cubic root of 1401200640 is about 1119.0086465849.

Adding to 1401200640 its reverse (460021041), we get a palindrome (1861221681).

The spelling of 1401200640 in words is "one billion, four hundred one million, two hundred thousand, six hundred forty".