10521401400 has 288 divisors, whose sum is σ = 36496324800. Its totient is φ = 2714342400.

The previous prime is 10521401393. The next prime is 10521401417. The reversal of 10521401400 is 410412501.

10521401400 is a `hidden beast` number, since 1 + 0 + 521 + 4 + 0 + 140 + 0 = 666.

It is a super-2 number, since 2×10521401400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15917070 + ... + 15917730.

It is an arithmetic number, because the mean of its divisors is an integer number (126723350).

Almost surely, 2^10521401400 is an apocalyptic number.

10521401400 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 10521401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248162400).

10521401400 is an abundant number, since it is smaller than the sum of its proper divisors (25974923400).

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

10521401400 is a wasteful number, since it uses less digits than its factorization.

10521401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10521401400 its reverse (410412501), we get a palindrome (10931813901).

The spelling of 10521401400 in words is "ten billion, five hundred twenty-one million, four hundred one thousand, four hundred".