42972387840 has 320 divisors, whose sum is σ = 161624833920. Its totient is φ = 10784931840.

The previous prime is 42972387839. The next prime is 42972387859. The reversal of 42972387840 is 4878327924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×42972387840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156755 + ... + 1193325.

It is an arithmetic number, because the mean of its divisors is an integer number (505077606).

Almost surely, 2^42972387840 is an apocalyptic number.

42972387840 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 42972387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80812416960).

42972387840 is an abundant number, since it is smaller than the sum of its proper divisors (118652446080).

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

42972387840 is a wasteful number, since it uses less digits than its factorization.

42972387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36620 (or 36598 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 42972387840 in words is "forty-two billion, nine hundred seventy-two million, three hundred eighty-seven thousand, eight hundred forty".