4015505640 has 128 divisors (see below), whose sum is σ = 12621496320. Its totient is φ = 1020729600.

The previous prime is 4015505617. The next prime is 4015505651. The reversal of 4015505640 is 465055104.

It is a super-2 number, since 2×4015505640² = 32248571089743619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4015505598 and 4015505607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241185 + ... + 257295.

It is an arithmetic number, because the mean of its divisors is an integer number (98605440).

Almost surely, 2^4015505640 is an apocalyptic number.

4015505640 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 4015505640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310748160).

4015505640 is an abundant number, since it is smaller than the sum of its proper divisors (8605990680).

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

4015505640 is a wasteful number, since it uses less digits than its factorization.

4015505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223 (or 16219 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4015505640 is about 63368.0174851636. The cubic root of 4015505640 is about 1589.4495464131.

The spelling of 4015505640 in words is "four billion, fifteen million, five hundred five thousand, six hundred forty".