39766121472 has 1056 divisors, whose sum is σ = 150543912960. Its totient is φ = 9083289600.

The previous prime is 39766121453. The next prime is 39766121569. The reversal of 39766121472 is 27412166793.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1282778097 + ... + 1282778127.

Almost surely, 2^39766121472 is an apocalyptic number.

39766121472 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 39766121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271956480).

39766121472 is an abundant number, since it is smaller than the sum of its proper divisors (110777791488).

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

39766121472 is a wasteful number, since it uses less digits than its factorization.

39766121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 39766121472 in words is "thirty-nine billion, seven hundred sixty-six million, one hundred twenty-one thousand, four hundred seventy-two".