255401161400 has 576 divisors, whose sum is σ = 788152680000. Its totient is φ = 76788096000.

The previous prime is 255401161387. The next prime is 255401161417. The reversal of 255401161400 is 4161104552.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240716870 + ... + 240717930.

It is an arithmetic number, because the mean of its divisors is an integer number (1368320625).

Almost surely, 2^255401161400 is an apocalyptic number.

255401161400 is a gapful number since it is divisible by the number (20) 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 255401161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394076340000).

255401161400 is an abundant number, since it is smaller than the sum of its proper divisors (532751518600).

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

255401161400 is a wasteful number, since it uses less digits than its factorization.

255401161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 255401161400 its reverse (4161104552), we get a palindrome (259562265952).

The spelling of 255401161400 in words is "two hundred fifty-five billion, four hundred one million, one hundred sixty-one thousand, four hundred".