39472402547760 has 2560 divisors, whose sum is σ = 167359528304640. Its totient is φ = 7469928677376.

The previous prime is 39472402547663. The next prime is 39472402547771. The reversal of 39472402547760 is 6774520427493.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 39472402547694 and 39472402547703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 63768016731 + ... + 63768017349.

It is an arithmetic number, because the mean of its divisors is an integer number (65374815744).

Almost surely, 2^{39472402547760} is an apocalyptic number.

39472402547760 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 39472402547760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83679764152320).

39472402547760 is an abundant number, since it is smaller than the sum of its proper divisors (127887125756880).

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

39472402547760 is a wasteful number, since it uses less digits than its factorization.

39472402547760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 60.

The spelling of 39472402547760 in words is "thirty-nine trillion, four hundred seventy-two billion, four hundred two million, five hundred forty-seven thousand, seven hundred sixty".