1457922375360 has 672 divisors, whose sum is σ = 5608837428480. Its totient is φ = 344532787200.

The previous prime is 1457922375337. The next prime is 1457922375383. The reversal of 1457922375360 is 635732297541.

1457922375360 is a `hidden beast` number, since 1 + 4 + 5 + 79 + 2 + 2 + 37 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1457922375337) and next prime (1457922375383).

It is a junction number, because it is equal to n+sod(n) for n = 1457922375297 and 1457922375306.

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 95 ways as a sum of consecutive naturals, for example, 1129296315 + ... + 1129297605.

Almost surely, 2^{1457922375360} is an apocalyptic number.

1457922375360 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 1457922375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804418714240).

1457922375360 is an abundant number, since it is smaller than the sum of its proper divisors (4150915053120).

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

1457922375360 is a wasteful number, since it uses less digits than its factorization.

1457922375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 1457922375360 in words is "one trillion, four hundred fifty-seven billion, nine hundred twenty-two million, three hundred seventy-five thousand, three hundred sixty".