401033446151200 has 144 divisors (see below), whose sum is σ = 979424469072000. Its totient is φ = 160347598064640.

The previous prime is 401033446151161. The next prime is 401033446151207. The reversal of 401033446151200 is 2151644330104.

It is a super-2 number, since 2×401033446151200² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401033446151207) 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, 27697585561 + ... + 27697600039.

It is an arithmetic number, because the mean of its divisors is an integer number (6801558813000).

Almost surely, 2^{401033446151200} is an apocalyptic number.

401033446151200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401033446151200 is an abundant number, since it is smaller than the sum of its proper divisors (578391022920800).

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

401033446151200 is a wasteful number, since it uses less digits than its factorization.

401033446151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26307 (or 26294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 401033446151200 in words is "four hundred one trillion, thirty-three billion, four hundred forty-six million, one hundred fifty-one thousand, two hundred".