4279997312640 has 1152 divisors, whose sum is σ = 18229408404480. Its totient is φ = 905425551360.

The previous prime is 4279997312639. The next prime is 4279997312677. The reversal of 4279997312640 is 462137999724.

4279997312640 is a `hidden beast` number, since 4 + 279 + 9 + 9 + 7 + 312 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661204444 + ... + 661210916.

It is an arithmetic number, because the mean of its divisors is an integer number (15824139240).

Almost surely, 2^{4279997312640} is an apocalyptic number.

4279997312640 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 4279997312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114704202240).

4279997312640 is an abundant number, since it is smaller than the sum of its proper divisors (13949411091840).

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

4279997312640 is a wasteful number, since it uses less digits than its factorization.

4279997312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 4279997312640 in words is "four trillion, two hundred seventy-nine billion, nine hundred ninety-seven million, three hundred twelve thousand, six hundred forty".