10362038400 has 480 divisors, whose sum is σ = 43708452480. Its totient is φ = 2368051200.

The previous prime is 10362038387. The next prime is 10362038419. The reversal of 10362038400 is 483026301.

It is a happy number.

10362038400 is a `hidden beast` number, since 1 + 0 + 3 + 620 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×10362038400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1811545 + ... + 1817255.

It is an arithmetic number, because the mean of its divisors is an integer number (91059276).

Almost surely, 2^10362038400 is an apocalyptic number.

10362038400 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 10362038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854226240).

10362038400 is an abundant number, since it is smaller than the sum of its proper divisors (33346414080).

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

10362038400 is an equidigital number, since it uses as much as digits as its factorization.

10362038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10362038400 in words is "ten billion, three hundred sixty-two million, thirty-eight thousand, four hundred".