39490260480 has 960 divisors, whose sum is σ = 160864704000. Its totient is φ = 9196830720.

The previous prime is 39490260479. The next prime is 39490260499. The reversal of 39490260480 is 8406209493.

39490260480 is a `hidden beast` number, since 39 + 4 + 9 + 0 + 2 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 198443421 + ... + 198443619.

It is an arithmetic number, because the mean of its divisors is an integer number (167567400).

Almost surely, 2^39490260480 is an apocalyptic number.

39490260480 is a gapful number since it is divisible by the number (30) 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 39490260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352000).

39490260480 is an abundant number, since it is smaller than the sum of its proper divisors (121374443520).

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

39490260480 is a wasteful number, since it uses less digits than its factorization.

39490260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 39490260480 in words is "thirty-nine billion, four hundred ninety million, two hundred sixty thousand, four hundred eighty".