1479129057000 has 1536 divisors, whose sum is σ = 6264156487680. Its totient is φ = 307427788800.

The previous prime is 1479129056987. The next prime is 1479129057011. The reversal of 1479129057000 is 7509219741.

1479129057000 is a `hidden beast` number, since 1 + 4 + 79 + 1 + 2 + 9 + 0 + 570 + 0 + 0 = 666.

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

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, 2519810707 + ... + 2519811293.

It is an arithmetic number, because the mean of its divisors is an integer number (4078226880).

Almost surely, 2^{1479129057000} is an apocalyptic number.

1479129057000 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 1479129057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132078243840).

1479129057000 is an abundant number, since it is smaller than the sum of its proper divisors (4785027430680).

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

1479129057000 is a wasteful number, since it uses less digits than its factorization.

1479129057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 1479129057000 in words is "one trillion, four hundred seventy-nine billion, one hundred twenty-nine million, fifty-seven thousand".