1457847431040 has 3072 divisors, whose sum is σ = 6863831654400. Its totient is φ = 254644715520.

The previous prime is 1457847431011. The next prime is 1457847431083. The reversal of 1457847431040 is 401347487541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17564426839 + ... + 17564426921.

It is an arithmetic number, because the mean of its divisors is an integer number (2234320200).

Almost surely, 2^{1457847431040} is an apocalyptic number.

1457847431040 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 1457847431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431915827200).

1457847431040 is an abundant number, since it is smaller than the sum of its proper divisors (5405984223360).

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

1457847431040 is a wasteful number, since it uses less digits than its factorization.

1457847431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 1457847431040 in words is "one trillion, four hundred fifty-seven billion, eight hundred forty-seven million, four hundred thirty-one thousand, forty".