42022661997960 has 1152 divisors, whose sum is σ = 163491913728000. Its totient is φ = 9167096401920.

The previous prime is 42022661997959. The next prime is 42022661997961. The reversal of 42022661997960 is 6979916622024.

42022661997960 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 6 + 619 + 9 + 7 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42022661997959) and next prime (42022661997961).

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

It is not an unprimeable number, because it can be changed into a prime (42022661997961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95723603421 + ... + 95723603859.

It is an arithmetic number, because the mean of its divisors is an integer number (141920064000).

Almost surely, 2^{42022661997960} is an apocalyptic number.

42022661997960 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 42022661997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81745956864000).

42022661997960 is an abundant number, since it is smaller than the sum of its proper divisors (121469251730040).

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

42022661997960 is a wasteful number, since it uses less digits than its factorization.

42022661997960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 42022661997960 in words is "forty-two trillion, twenty-two billion, six hundred sixty-one million, nine hundred ninety-seven thousand, nine hundred sixty".