42417457920 has 216 divisors, whose sum is σ = 152196656976. Its totient is φ = 11311239168.

The previous prime is 42417457919. The next prime is 42417457921. The reversal of 42417457920 is 2975471424.

42417457920 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 74 + 579 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42417457919) and next prime (42417457921).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42417457921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242854 + ... + 379226.

Almost surely, 2^42417457920 is an apocalyptic number.

42417457920 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 42417457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76098328488).

42417457920 is an abundant number, since it is smaller than the sum of its proper divisors (109779199056).

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

42417457920 is an equidigital number, since it uses as much as digits as its factorization.

42417457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136409 (or 136383 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42417457920 in words is "forty-two billion, four hundred seventeen million, four hundred fifty-seven thousand, nine hundred twenty".