340792583040 has 960 divisors, whose sum is σ = 1506386518560. Its totient is φ = 71890550784.

The previous prime is 340792583029. The next prime is 340792583059. The reversal of 340792583040 is 40385297043.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×340792583040² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61323942 + ... + 61329498.

Almost surely, 2^340792583040 is an apocalyptic number.

340792583040 is a gapful number since it is divisible by the number (30) 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 340792583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753193259280).

340792583040 is an abundant number, since it is smaller than the sum of its proper divisors (1165593935520).

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

340792583040 is a wasteful number, since it uses less digits than its factorization.

340792583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 340792583040 in words is "three hundred forty billion, seven hundred ninety-two million, five hundred eighty-three thousand, forty".