340016120401620 has 384 divisors, whose sum is σ = 1064867622174720. Its totient is φ = 80536484874240.

The previous prime is 340016120401577. The next prime is 340016120401649. The reversal of 340016120401620 is 26104021610043.

It is a super-2 number, since 2×340016120401620² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524537310 + ... + 525185130.

It is an arithmetic number, because the mean of its divisors is an integer number (2773092766080).

Almost surely, 2^{340016120401620} is an apocalyptic number.

340016120401620 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 340016120401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532433811087360).

340016120401620 is an abundant number, since it is smaller than the sum of its proper divisors (724851501773100).

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

340016120401620 is a wasteful number, since it uses less digits than its factorization.

340016120401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648135 (or 648133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 340016120401620 in words is "three hundred forty trillion, sixteen billion, one hundred twenty million, four hundred one thousand, six hundred twenty".