42479902080 has 1152 divisors, whose sum is σ = 195259334400. Its totient is φ = 8244633600.

The previous prime is 42479902021. The next prime is 42479902097. The reversal of 42479902080 is 8020997424.

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 (45).

It is a congruent number.

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, 598308445 + ... + 598308515.

It is an arithmetic number, because the mean of its divisors is an integer number (169495950).

Almost surely, 2^42479902080 is an apocalyptic number.

42479902080 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 42479902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97629667200).

42479902080 is an abundant number, since it is smaller than the sum of its proper divisors (152779432320).

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

42479902080 is a wasteful number, since it uses less digits than its factorization.

42479902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 4247990 and 2080, that added together give a triangular number (4250070 = T₂₉₁₅).

The spelling of 42479902080 in words is "forty-two billion, four hundred seventy-nine million, nine hundred two thousand, eighty".