10155403200400 has 120 divisors (see below), whose sum is σ = 24733195188480. Its totient is φ = 4006521093120.

The previous prime is 10155403200361. The next prime is 10155403200421. The reversal of 10155403200400 is 400230455101.

It is a happy number.

10155403200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10155403200400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29946189 + ... + 30283411.

It is an arithmetic number, because the mean of its divisors is an integer number (206109959904).

Almost surely, 2^{10155403200400} is an apocalyptic number.

10155403200400 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 10155403200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366597594240).

10155403200400 is an abundant number, since it is smaller than the sum of its proper divisors (14577791988080).

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

10155403200400 is a wasteful number, since it uses less digits than its factorization.

10155403200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338273 (or 338262 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10155403200400 its reverse (400230455101), we get a palindrome (10555633655501).

The spelling of 10155403200400 in words is "ten trillion, one hundred fifty-five billion, four hundred three million, two hundred thousand, four hundred".