4006416351 has 48 divisors (see below), whose sum is σ = 6401136480. Its totient is φ = 2220825600.

The previous prime is 4006416343. The next prime is 4006416397. The reversal of 4006416351 is 1536146004.

It is not a de Polignac number, because 4006416351 - 2³ = 4006416343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006416251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223651 + ... + 2225451.

It is an arithmetic number, because the mean of its divisors is an integer number (133357010).

Almost surely, 2^4006416351 is an apocalyptic number.

4006416351 is a deficient number, since it is larger than the sum of its proper divisors (2394720129).

4006416351 is a wasteful number, since it uses less digits than its factorization.

4006416351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4006416351 is about 63296.2585861123. The cubic root of 4006416351 is about 1588.2493753953.

The spelling of 4006416351 in words is "four billion, six million, four hundred sixteen thousand, three hundred fifty-one".