401406633540000 has 360 divisors, whose sum is σ = 1556092963256832. Its totient is φ = 97310698560000.

The previous prime is 401406633539999. The next prime is 401406633540013. The reversal of 401406633540000 is 45336604104.

401406633540000 is a `hidden beast` number, since 4 + 0 + 14 + 0 + 6 + 633 + 5 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×401406633540000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99385312 + ... + 103345311.

Almost surely, 2^{401406633540000} is an apocalyptic number.

401406633540000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401406633540000 is an abundant number, since it is smaller than the sum of its proper divisors (1154686329716832).

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

401406633540000 is a wasteful number, since it uses less digits than its factorization.

401406633540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202730670 (or 202730644 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 401406633540000 in words is "four hundred one trillion, four hundred six billion, six hundred thirty-three million, five hundred forty thousand".