39967945538400 has 1440 divisors, whose sum is σ = 162245170644480. Its totient is φ = 9493521408000.

The previous prime is 39967945538393. The next prime is 39967945538431. The reversal of 39967945538400 is 483554976993.

39967945538400 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 7 + 9 + 45 + 538 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8451667236 + ... + 8451671964.

It is an arithmetic number, because the mean of its divisors is an integer number (112670257392).

Almost surely, 2^{39967945538400} is an apocalyptic number.

39967945538400 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 39967945538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81122585322240).

39967945538400 is an abundant number, since it is smaller than the sum of its proper divisors (122277225106080).

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

39967945538400 is a wasteful number, since it uses less digits than its factorization.

39967945538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 39967945538400 in words is "thirty-nine trillion, nine hundred sixty-seven billion, nine hundred forty-five million, five hundred thirty-eight thousand, four hundred".