1400457031680 has 832 divisors, whose sum is σ = 5517285654528. Its totient is φ = 296245002240.

The previous prime is 1400457031663. The next prime is 1400457031717. The reversal of 1400457031680 is 861307540041.

It is a super-2 number, since 2×1400457031680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306644757 + ... + 306649323.

Almost surely, 2^{1400457031680} is an apocalyptic number.

1400457031680 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 1400457031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758642827264).

1400457031680 is an abundant number, since it is smaller than the sum of its proper divisors (4116828622848).

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

1400457031680 is a wasteful number, since it uses less digits than its factorization.

1400457031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1400457031680 in words is "one trillion, four hundred billion, four hundred fifty-seven million, thirty-one thousand, six hundred eighty".