1401045200 has 60 divisors (see below), whose sum is σ = 3412191948. Its totient is φ = 552729600.

The previous prime is 1401045193. The next prime is 1401045223. The reversal of 1401045200 is 25401041.

It can be written as a sum of positive squares in 6 ways, for example, as 76667536 + 1324377664 = 8756^2 + 36392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5210 + ... + 53190.

Almost surely, 2^1401045200 is an apocalyptic number.

1401045200 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 1401045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706095974).

1401045200 is an abundant number, since it is smaller than the sum of its proper divisors (2011146748).

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

1401045200 is a wasteful number, since it uses less digits than its factorization.

1401045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48072 (or 48061 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1401045200 is about 37430.5383343601. The cubic root of 1401045200 is about 1118.9672665637.

Adding to 1401045200 its reverse (25401041), we get a palindrome (1426446241).

The spelling of 1401045200 in words is "one billion, four hundred one million, forty-five thousand, two hundred".