1457729103600 has 3840 divisors, whose sum is σ = 7407640166400. Its totient is φ = 266051174400.

The previous prime is 1457729103599. The next prime is 1457729103643. The reversal of 1457729103600 is 63019277541.

1457729103600 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 7 + 29 + 10 + 3 + 600 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 21757150767 + ... + 21757150833.

It is an arithmetic number, because the mean of its divisors is an integer number (1929072960).

Almost surely, 2^{1457729103600} is an apocalyptic number.

1457729103600 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 1457729103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703820083200).

1457729103600 is an abundant number, since it is smaller than the sum of its proper divisors (5949911062800).

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

1457729103600 is a wasteful number, since it uses less digits than its factorization.

1457729103600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1457729103600 in words is "one trillion, four hundred fifty-seven billion, seven hundred twenty-nine million, one hundred three thousand, six hundred".