340737351231400 has 96 divisors (see below), whose sum is σ = 797759633966040. Its totient is φ = 135341999170560.

The previous prime is 340737351231383. The next prime is 340737351231401. The reversal of 340737351231400 is 4132153737043.

It can be written as a sum of positive squares in 12 ways, for example, as 4263704635876 + 336473646595524 = 2064874^2 + 18343218^2 .

It is a super-2 number, since 2×340737351231400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340737351231401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46748334 + ... + 53543266.

Almost surely, 2^{340737351231400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340737351231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398879816983020).

340737351231400 is an abundant number, since it is smaller than the sum of its proper divisors (457022282734640).

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

340737351231400 is a wasteful number, since it uses less digits than its factorization.

340737351231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796703 (or 6796694 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 43.

The spelling of 340737351231400 in words is "three hundred forty trillion, seven hundred thirty-seven billion, three hundred fifty-one million, two hundred thirty-one thousand, four hundred".