40048436736 has 720 divisors, whose sum is σ = 150331044864. Its totient is φ = 10036224000.

The previous prime is 40048436713. The next prime is 40048436737. The reversal of 40048436736 is 63763484004.

It is a super-3 number, since 3×40048436736³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40048436691 and 40048436700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40048436737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120992091 + ... + 120992421.

Almost surely, 2^40048436736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40048436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75165522432).

40048436736 is an abundant number, since it is smaller than the sum of its proper divisors (110282608128).

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

40048436736 is a wasteful number, since it uses less digits than its factorization.

40048436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 40048436736 in words is "forty billion, forty-eight million, four hundred thirty-six thousand, seven hundred thirty-six".