401144312132400 has 120 divisors (see below), whose sum is σ = 1285024239524160. Its totient is φ = 106969711013120.

The previous prime is 401144312132381. The next prime is 401144312132423. The reversal of 401144312132400 is 4231213441104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×401144312132400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 58179271 + ... + 64707929.

It is an arithmetic number, because the mean of its divisors is an integer number (10708535329368).

Almost surely, 2^{401144312132400} is an apocalyptic number.

401144312132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401144312132400 is an abundant number, since it is smaller than the sum of its proper divisors (883879927391760).

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

401144312132400 is a wasteful number, since it uses less digits than its factorization.

401144312132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579883 (or 6579872 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 401144312132400 its reverse (4231213441104), we get a palindrome (405375525573504).

The spelling of 401144312132400 in words is "four hundred one trillion, one hundred forty-four billion, three hundred twelve million, one hundred thirty-two thousand, four hundred".