1457311474080 has 1728 divisors, whose sum is σ = 6535116806400. Its totient is φ = 300785633280.

The previous prime is 1457311474007. The next prime is 1457311474117. The reversal of 1457311474080 is 804741137541.

1457311474080 is a `hidden beast` number, since 1 + 4 + 573 + 1 + 1 + 4 + 74 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9780613846 + ... + 9780613994.

It is an arithmetic number, because the mean of its divisors is an integer number (3781896300).

Almost surely, 2^{1457311474080} is an apocalyptic number.

1457311474080 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 1457311474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267558403200).

1457311474080 is an abundant number, since it is smaller than the sum of its proper divisors (5077805332320).

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

1457311474080 is an frugal number, since it uses more digits than its factorization.

1457311474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

It can be divided in two parts, 1457311 and 474080, that added together give a palindrome (1931391).

The spelling of 1457311474080 in words is "one trillion, four hundred fifty-seven billion, three hundred eleven million, four hundred seventy-four thousand, eighty".