1070715322400 has 144 divisors (see below), whose sum is σ = 2621155922784. Its totient is φ = 427096750080.

The previous prime is 1070715322387. The next prime is 1070715322451. The reversal of 1070715322400 is 42235170701.

It is a super-2 number, since 2×1070715322400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721992059 + ... + 721993541.

It is an arithmetic number, because the mean of its divisors is an integer number (18202471686).

Almost surely, 2^{1070715322400} is an apocalyptic number.

1070715322400 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 1070715322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310577961392).

1070715322400 is an abundant number, since it is smaller than the sum of its proper divisors (1550440600384).

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

1070715322400 is a wasteful number, since it uses less digits than its factorization.

1070715322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 1070715322400 in words is "one trillion, seventy billion, seven hundred fifteen million, three hundred twenty-two thousand, four hundred".