401002255044300 has 864 divisors, whose sum is σ = 1525149709171200. Its totient is φ = 80476228546560.

The previous prime is 401002255044299. The next prime is 401002255044329. The reversal of 401002255044300 is 3440552200104.

It is a super-2 number, since 2×401002255044300² (a number of 30 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 786503856 + ... + 787013544.

It is an arithmetic number, because the mean of its divisors is an integer number (1765219570800).

Almost surely, 2^{401002255044300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401002255044300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762574854585600).

401002255044300 is an abundant number, since it is smaller than the sum of its proper divisors (1124147454126900).

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

401002255044300 is a wasteful number, since it uses less digits than its factorization.

401002255044300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509935 (or 509921 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 401002255044300 in words is "four hundred one trillion, two billion, two hundred fifty-five million, forty-four thousand, three hundred".