40950915840 has 648 divisors, whose sum is σ = 153681287760. Its totient is φ = 10060775424.

The previous prime is 40950915839. The next prime is 40950915847. The reversal of 40950915840 is 4851905904.

40950915840 is a `hidden beast` number, since 409 + 50 + 9 + 158 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40950915847) 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, 178824846 + ... + 178825074.

Almost surely, 2^40950915840 is an apocalyptic number.

40950915840 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 40950915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76840643880).

40950915840 is an abundant number, since it is smaller than the sum of its proper divisors (112730371920).

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

40950915840 is a wasteful number, since it uses less digits than its factorization.

40950915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 40950915840 in words is "forty billion, nine hundred fifty million, nine hundred fifteen thousand, eight hundred forty".