401834749032000 has 336 divisors, whose sum is σ = 1437995774621952. Its totient is φ = 107113746662400.

The previous prime is 401834749031953. The next prime is 401834749032049. The reversal of 401834749032000 is 230947438104.

401834749032000 is a `hidden beast` number, since 4 + 0 + 18 + 347 + 4 + 90 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×401834749032000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181998667 + ... + 184193333.

It is an arithmetic number, because the mean of its divisors is an integer number (4279749329232).

Almost surely, 2^{401834749032000} is an apocalyptic number.

401834749032000 is a gapful number since it is divisible by the number (40) 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 401834749032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718997887310976).

401834749032000 is an abundant number, since it is smaller than the sum of its proper divisors (1036161025589952).

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

401834749032000 is a wasteful number, since it uses less digits than its factorization.

401834749032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197243 (or 2197220 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 401834749032000 in words is "four hundred one trillion, eight hundred thirty-four billion, seven hundred forty-nine million, thirty-two thousand".