40625533440 has 240 divisors, whose sum is σ = 141346453248. Its totient is φ = 10783531008.

The previous prime is 40625533423. The next prime is 40625533483. The reversal of 40625533440 is 4433552604.

40625533440 is a `hidden beast` number, since 4 + 0 + 62 + 553 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40625533395 and 40625533404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5133967 + ... + 5141873.

Almost surely, 2^40625533440 is an apocalyptic number.

40625533440 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 40625533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70673226624).

40625533440 is an abundant number, since it is smaller than the sum of its proper divisors (100720919808).

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

40625533440 is a wasteful number, since it uses less digits than its factorization.

40625533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40625533440 in words is "forty billion, six hundred twenty-five million, five hundred thirty-three thousand, four hundred forty".