4058152560 has 360 divisors, whose sum is σ = 17296611696. Its totient is φ = 843171840.

The previous prime is 4058152559. The next prime is 4058152577. The reversal of 4058152560 is 652518504.

4058152560 is a `hidden beast` number, since 40 + 5 + 8 + 1 + 52 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382852 + ... + 393308.

Almost surely, 2^4058152560 is an apocalyptic number.

4058152560 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 4058152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648305848).

4058152560 is an abundant number, since it is smaller than the sum of its proper divisors (13238459136).

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

4058152560 is a wasteful number, since it uses less digits than its factorization.

4058152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4058152560 is about 63703.6306657635. The cubic root of 4058152560 is about 1595.0566909551.

The spelling of 4058152560 in words is "four billion, fifty-eight million, one hundred fifty-two thousand, five hundred sixty".