42118586737920 has 6912 divisors, whose sum is σ = 213275507687424. Its totient is φ = 7691894784000.

The previous prime is 42118586737897. The next prime is 42118586737961. The reversal of 42118586737920 is 2973768581124.

42118586737920 is a `hidden beast` number, since 4 + 2 + 1 + 18 + 586 + 7 + 37 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 593219531485 + ... + 593219531555.

It is an arithmetic number, because the mean of its divisors is an integer number (30855831552).

It is a 1-persistent number, because it is pandigital, but 2⋅42118586737920 = 84237173475840 is not.

Almost surely, 2^{42118586737920} is an apocalyptic number.

42118586737920 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 42118586737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106637753843712).

42118586737920 is an abundant number, since it is smaller than the sum of its proper divisors (171156920949504).

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

42118586737920 is a wasteful number, since it uses less digits than its factorization.

42118586737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 42118586737920 in words is "forty-two trillion, one hundred eighteen billion, five hundred eighty-six million, seven hundred thirty-seven thousand, nine hundred twenty".