1457178342480 has 800 divisors, whose sum is σ = 5927324198400. Its totient is φ = 331643289600.

The previous prime is 1457178342463. The next prime is 1457178342583. The reversal of 1457178342480 is 842438717541.

1457178342480 is a `hidden beast` number, since 1 + 4 + 5 + 71 + 78 + 3 + 424 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 571217205 + ... + 571219755.

It is an arithmetic number, because the mean of its divisors is an integer number (7409155248).

Almost surely, 2^{1457178342480} is an apocalyptic number.

1457178342480 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 1457178342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963662099200).

1457178342480 is an abundant number, since it is smaller than the sum of its proper divisors (4470145855920).

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

1457178342480 is a wasteful number, since it uses less digits than its factorization.

1457178342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 1457178342480 in words is "one trillion, four hundred fifty-seven billion, one hundred seventy-eight million, three hundred forty-two thousand, four hundred eighty".