42479964540 has 384 divisors, whose sum is σ = 149171742720. Its totient is φ = 9957758976.

The previous prime is 42479964523. The next prime is 42479964559. The reversal of 42479964540 is 4546997424.

42479964540 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 9 + 96 + 4 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49567792 + ... + 49568648.

It is an arithmetic number, because the mean of its divisors is an integer number (388468080).

Almost surely, 2^42479964540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42479964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74585871360).

42479964540 is an abundant number, since it is smaller than the sum of its proper divisors (106691778180).

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

42479964540 is a wasteful number, since it uses less digits than its factorization.

42479964540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42479964540 in words is "forty-two billion, four hundred seventy-nine million, nine hundred sixty-four thousand, five hundred forty".