42690919057920 has 1440 divisors, whose sum is σ = 175584590438400. Its totient is φ = 9556008763392.

The previous prime is 42690919057819. The next prime is 42690919058069. The reversal of 42690919057920 is 2975091909624.

42690919057920 is a `hidden beast` number, since 4 + 26 + 9 + 0 + 9 + 19 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11326853796 + ... + 11326857564.

It is an arithmetic number, because the mean of its divisors is an integer number (121933743360).

Almost surely, 2^{42690919057920} is an apocalyptic number.

42690919057920 is a gapful number since it is divisible by the number (40) 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 42690919057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87792295219200).

42690919057920 is an abundant number, since it is smaller than the sum of its proper divisors (132893671380480).

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

42690919057920 is a wasteful number, since it uses less digits than its factorization.

42690919057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 42690919057920 in words is "forty-two trillion, six hundred ninety billion, nine hundred nineteen million, fifty-seven thousand, nine hundred twenty".