40415397862392 has 768 divisors, whose sum is σ = 138410420544000. Its totient is φ = 10876298582016.

The previous prime is 40415397862391. The next prime is 40415397862403. The reversal of 40415397862392 is 29326879351404.

40415397862392 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 5 + 397 + 8 + 6 + 239 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40415397862391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15349561108 + ... + 15349563740.

It is an arithmetic number, because the mean of its divisors is an integer number (180221901750).

It is a 1-persistent number, because it is pandigital, but 2⋅40415397862392 = 80830795724784 is not.

Almost surely, 2^{40415397862392} is an apocalyptic number.

40415397862392 is a gapful number since it is divisible by the number (42) 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 40415397862392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69205210272000).

40415397862392 is an abundant number, since it is smaller than the sum of its proper divisors (97995022681608).

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

40415397862392 is a wasteful number, since it uses less digits than its factorization.

40415397862392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 40415397862392 in words is "forty trillion, four hundred fifteen billion, three hundred ninety-seven million, eight hundred sixty-two thousand, three hundred ninety-two".