10402167712400 has 120 divisors (see below), whose sum is σ = 25536665423808. Its totient is φ = 4070946880000.

The previous prime is 10402167712399. The next prime is 10402167712403. The reversal of 10402167712400 is 421776120401.

It is a super-2 number, since 2×10402167712400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10402167712403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2322410 + ... + 5118390.

Almost surely, 2^{10402167712400} is an apocalyptic number.

10402167712400 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 10402167712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768332711904).

10402167712400 is an abundant number, since it is smaller than the sum of its proper divisors (15134497711408).

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

10402167712400 is a wasteful number, since it uses less digits than its factorization.

10402167712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796201 (or 2796190 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 10402167712400 in words is "ten trillion, four hundred two billion, one hundred sixty-seven million, seven hundred twelve thousand, four hundred".