42915211286640 has 640 divisors, whose sum is σ = 166496200704000. Its totient is φ = 8883546808320.

The previous prime is 42915211286609. The next prime is 42915211286641. The reversal of 42915211286640 is 4668211251924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42915211286641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6220493911 + ... + 6220500809.

It is an arithmetic number, because the mean of its divisors is an integer number (260150313600).

Almost surely, 2^{42915211286640} is an apocalyptic number.

42915211286640 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 42915211286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83248100352000).

42915211286640 is an abundant number, since it is smaller than the sum of its proper divisors (123580989417360).

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

42915211286640 is a wasteful number, since it uses less digits than its factorization.

42915211286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 42915211286640 in words is "forty-two trillion, nine hundred fifteen billion, two hundred eleven million, two hundred eighty-six thousand, six hundred forty".