39141997733952 has 448 divisors, whose sum is σ = 120370925445120. Its totient is φ = 12457968998400.

The previous prime is 39141997733911. The next prime is 39141997733953. The reversal of 39141997733952 is 25933779914193.

It is a happy number.

39141997733952 is a `hidden beast` number, since 3 + 9 + 1 + 419 + 97 + 7 + 33 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (39141997733953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3650278863 + ... + 3650289585.

It is an arithmetic number, because the mean of its divisors is an integer number (268685101440).

Almost surely, 2^{39141997733952} is an apocalyptic number.

39141997733952 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 39141997733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60185462722560).

39141997733952 is an abundant number, since it is smaller than the sum of its proper divisors (81228927711168).

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

39141997733952 is a wasteful number, since it uses less digits than its factorization.

39141997733952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11679 (or 11663 counting only the distinct ones).

The product of its digits is 347208120, while the sum is 72.

The spelling of 39141997733952 in words is "thirty-nine trillion, one hundred forty-one billion, nine hundred ninety-seven million, seven hundred thirty-three thousand, nine hundred fifty-two".