39420545472 has 1008 divisors, whose sum is σ = 154937764800. Its totient is φ = 9537454080.

The previous prime is 39420545467. The next prime is 39420545477. The reversal of 39420545472 is 27454502493.

39420545472 is a `hidden beast` number, since 39 + 4 + 2 + 0 + 545 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (39420545467) and next prime (39420545477).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39420545477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406397328 + ... + 406397424.

It is an arithmetic number, because the mean of its divisors is an integer number (153708100).

Almost surely, 2^39420545472 is an apocalyptic number.

39420545472 is a gapful number since it is divisible by the number (32) 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 39420545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77468882400).

39420545472 is an abundant number, since it is smaller than the sum of its proper divisors (115517219328).

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

39420545472 is a wasteful number, since it uses less digits than its factorization.

39420545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 39420545472 in words is "thirty-nine billion, four hundred twenty million, five hundred forty-five thousand, four hundred seventy-two".