20415578040 has 512 divisors, whose sum is σ = 81183513600. Its totient is φ = 4498053120.

The previous prime is 20415578039. The next prime is 20415578059. The reversal of 20415578040 is 4087551402.

20415578040 is a `hidden beast` number, since 2 + 0 + 41 + 5 + 578 + 0 + 40 = 666.

It is a super-4 number, since 4×20415578040⁴ (a number of 42 digits) contains 4444 as substring.

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 = 20415577986 and 20415578004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10346494 + ... + 10348466.

It is an arithmetic number, because the mean of its divisors is an integer number (158561550).

Almost surely, 2^20415578040 is an apocalyptic number.

20415578040 is a gapful number since it is divisible by the number (20) 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 20415578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591756800).

20415578040 is an abundant number, since it is smaller than the sum of its proper divisors (60767935560).

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

20415578040 is a wasteful number, since it uses less digits than its factorization.

20415578040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20415578040 in words is "twenty billion, four hundred fifteen million, five hundred seventy-eight thousand, forty".