4149001920 has 112 divisors (see below), whose sum is σ = 15054974208. Its totient is φ = 948341760.

The previous prime is 4149001907. The next prime is 4149001921. The reversal of 4149001920 is 291009414.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (4149001921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301986 + ... + 315425.

Almost surely, 2^4149001920 is an apocalyptic number.

4149001920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149001920 is an abundant number, since it is smaller than the sum of its proper divisors (10905972288).

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

4149001920 is a wasteful number, since it uses less digits than its factorization.

4149001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617438 (or 617428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 4149001920 is about 64412.7465646358. The cubic root of 4149001920 is about 1606.8717364395.

The spelling of 4149001920 in words is "four billion, one hundred forty-nine million, one thousand, nine hundred twenty".