340015242400 has 72 divisors (see below), whose sum is σ = 833369723424. Its totient is φ = 135464160000.

The previous prime is 340015242383. The next prime is 340015242409. The reversal of 340015242400 is 4242510043.

It is a happy number.

It is a super-2 number, since 2×340015242400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (340015242409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645852 + ... + 1047451.

It is an arithmetic number, because the mean of its divisors is an integer number (11574579492).

Almost surely, 2^340015242400 is an apocalyptic number.

It is an amenable number.

340015242400 is an abundant number, since it is smaller than the sum of its proper divisors (493354481024).

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

340015242400 is a wasteful number, since it uses less digits than its factorization.

340015242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693574 (or 1693561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 340015242400 its reverse (4242510043), we get a palindrome (344257752443).

The spelling of 340015242400 in words is "three hundred forty billion, fifteen million, two hundred forty-two thousand, four hundred".