40462973040 has 480 divisors, whose sum is σ = 156902814720. Its totient is φ = 8573257728.

The previous prime is 40462973027. The next prime is 40462973093. The reversal of 40462973040 is 4037926404.

It is a super-3 number, since 3×40462973040³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40462973040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10499754 + ... + 10503606.

It is an arithmetic number, because the mean of its divisors is an integer number (326880864).

Almost surely, 2^40462973040 is an apocalyptic number.

40462973040 is a gapful number since it is divisible by the number (40) 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 40462973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78451407360).

40462973040 is an abundant number, since it is smaller than the sum of its proper divisors (116439841680).

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

40462973040 is a wasteful number, since it uses less digits than its factorization.

40462973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 40462973040 in words is "forty billion, four hundred sixty-two million, nine hundred seventy-three thousand, forty".