342540044098560 has 2376 divisors, whose sum is σ = 1513136183735904. Its totient is φ = 70134349824000.

The previous prime is 342540044098531. The next prime is 342540044098613. The reversal of 342540044098560 is 65890440045243.

342540044098560 is a `hidden beast` number, since 3 + 4 + 2 + 54 + 0 + 0 + 440 + 98 + 5 + 60 = 666.

It is a super-2 number, since 2×342540044098560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342540044098497 and 342540044098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 196749019290 + ... + 196749021030.

Almost surely, 2^{342540044098560} is an apocalyptic number.

342540044098560 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 342540044098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756568091867952).

342540044098560 is an abundant number, since it is smaller than the sum of its proper divisors (1170596139637344).

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

342540044098560 is a wasteful number, since it uses less digits than its factorization.

342540044098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 342540044098560 in words is "three hundred forty-two trillion, five hundred forty billion, forty-four million, ninety-eight thousand, five hundred sixty".