340740465436800 has 9216 divisors, whose sum is σ = 1691536234752000. Its totient is φ = 66331842969600.

The previous prime is 340740465436751. The next prime is 340740465436823. The reversal of 340740465436800 is 8634564047043.

340740465436800 is a `hidden beast` number, since 3 + 4 + 0 + 74 + 0 + 4 + 65 + 436 + 80 + 0 = 666.

It is a super-2 number, since 2×340740465436800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1903578019111 + ... + 1903578019289.

It is an arithmetic number, because the mean of its divisors is an integer number (183543428250).

Almost surely, 2^{340740465436800} is an apocalyptic number.

340740465436800 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 340740465436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845768117376000).

340740465436800 is an abundant number, since it is smaller than the sum of its proper divisors (1350795769315200).

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

340740465436800 is a wasteful number, since it uses less digits than its factorization.

340740465436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 340740465436800 in words is "three hundred forty trillion, seven hundred forty billion, four hundred sixty-five million, four hundred thirty-six thousand, eight hundred".