1400085918000 has 1440 divisors, whose sum is σ = 6414333831360. Its totient is φ = 290860416000.

The previous prime is 1400085917977. The next prime is 1400085918019. The reversal of 1400085918000 is 8195800041.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 320163814 + ... + 320168186.

It is an arithmetic number, because the mean of its divisors is an integer number (4454398494).

Almost surely, 2^{1400085918000} is an apocalyptic number.

1400085918000 is a gapful number since it is divisible by the number (10) 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 1400085918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207166915680).

1400085918000 is an abundant number, since it is smaller than the sum of its proper divisors (5014247913360).

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

1400085918000 is a wasteful number, since it uses less digits than its factorization.

1400085918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1400085918000 in words is "one trillion, four hundred billion, eighty-five million, nine hundred eighteen thousand".