40047972048 has 400 divisors, whose sum is σ = 141085612800. Its totient is φ = 10941993216.

The previous prime is 40047972047. The next prime is 40047972049. The reversal of 40047972048 is 84027974004.

It is an interprime number because it is at equal distance from previous prime (40047972047) and next prime (40047972049).

It is a junction number, because it is equal to n+sod(n) for n = 40047971994 and 40047972012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40047972047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10222186 + ... + 10226102.

It is an arithmetic number, because the mean of its divisors is an integer number (352714032).

Almost surely, 2^40047972048 is an apocalyptic number.

40047972048 is a gapful number since it is divisible by the number (48) 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 40047972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70542806400).

40047972048 is an abundant number, since it is smaller than the sum of its proper divisors (101037640752).

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

40047972048 is a wasteful number, since it uses less digits than its factorization.

40047972048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40047972048 in words is "forty billion, forty-seven million, nine hundred seventy-two thousand, forty-eight".