39740406480 has 480 divisors, whose sum is σ = 145015004160. Its totient is φ = 9726013440.

The previous prime is 39740406451. The next prime is 39740406493. The reversal of 39740406480 is 8460404793.

39740406480 is a `hidden beast` number, since 3 + 97 + 40 + 40 + 6 + 480 = 666.

It is a super-3 number, since 3×39740406480³ (a number of 33 digits) contains 333 as substring.

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, 48404470 + ... + 48405290.

It is an arithmetic number, because the mean of its divisors is an integer number (302114592).

Almost surely, 2^39740406480 is an apocalyptic number.

39740406480 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 39740406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72507502080).

39740406480 is an abundant number, since it is smaller than the sum of its proper divisors (105274597680).

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

39740406480 is a wasteful number, since it uses less digits than its factorization.

39740406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 39740406480 in words is "thirty-nine billion, seven hundred forty million, four hundred six thousand, four hundred eighty".