40207920948 has 324 divisors, whose sum is σ = 118930358820. Its totient is φ = 11452034880.

The previous prime is 40207920943. The next prime is 40207920967. The reversal of 40207920948 is 84902970204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1482404004 + 38725516944 = 38502^2 + 196788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40207920943) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1297029693 + ... + 1297029723.

Almost surely, 2^40207920948 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 40207920948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59465179410).

40207920948 is an abundant number, since it is smaller than the sum of its proper divisors (78722437872).

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

40207920948 is a wasteful number, since it uses less digits than its factorization.

40207920948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40207920948 in words is "forty billion, two hundred seven million, nine hundred twenty thousand, nine hundred forty-eight".