340775125695840 has 1152 divisors, whose sum is σ = 1270621677362688. Its totient is φ = 76070052495360.

The previous prime is 340775125695811. The next prime is 340775125695853. The reversal of 340775125695840 is 48596521577043.

It is a super-2 number, since 2×340775125695840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92176120872 + ... + 92176124568.

It is an arithmetic number, because the mean of its divisors is an integer number (1102970206044).

It is a 1-persistent number, because it is pandigital, but 2⋅340775125695840 = 681550251391680 is not.

Almost surely, 2^{340775125695840} is an apocalyptic number.

340775125695840 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 340775125695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635310838681344).

340775125695840 is an abundant number, since it is smaller than the sum of its proper divisors (929846551666848).

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

340775125695840 is a wasteful number, since it uses less digits than its factorization.

340775125695840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 66.

The spelling of 340775125695840 in words is "three hundred forty trillion, seven hundred seventy-five billion, one hundred twenty-five million, six hundred ninety-five thousand, eight hundred forty".