1401900832512 has 288 divisors, whose sum is σ = 4326955536960. Its totient is φ = 447295979520.

The previous prime is 1401900832499. The next prime is 1401900832547. The reversal of 1401900832512 is 2152380091041.

1401900832512 is a `hidden beast` number, since 140 + 190 + 0 + 8 + 325 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14973108 + ... + 15066444.

It is an arithmetic number, because the mean of its divisors is an integer number (15024151170).

Almost surely, 2^{1401900832512} is an apocalyptic number.

1401900832512 is a gapful number since it is divisible by the number (12) 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 1401900832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163477768480).

1401900832512 is an abundant number, since it is smaller than the sum of its proper divisors (2925054704448).

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

1401900832512 is an equidigital number, since it uses as much as digits as its factorization.

1401900832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93456 (or 93436 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1401900832512 in words is "one trillion, four hundred one billion, nine hundred million, eight hundred thirty-two thousand, five hundred twelve".