340532102400 has 216 divisors, whose sum is σ = 1284374086464. Its totient is φ = 77835878400.

The previous prime is 340532102387. The next prime is 340532102413. The reversal of 340532102400 is 4201235043.

It is an interprime number because it is at equal distance from previous prime (340532102387) and next prime (340532102413).

It is a super-2 number, since 2×340532102400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132461 + ... + 1401260.

Almost surely, 2^340532102400 is an apocalyptic number.

340532102400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340532102400 is an abundant number, since it is smaller than the sum of its proper divisors (943841984064).

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

340532102400 is a wasteful number, since it uses less digits than its factorization.

340532102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533757 (or 2533738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 340532102400 its reverse (4201235043), we get a palindrome (344733337443).

The spelling of 340532102400 in words is "three hundred forty billion, five hundred thirty-two million, one hundred two thousand, four hundred".