4149752040 has 128 divisors (see below), whose sum is σ = 15808608000. Its totient is φ = 948513024.

The previous prime is 4149752029. The next prime is 4149752093. The reversal of 4149752040 is 402579414.

It is a happy number.

4149752040 is a `hidden beast` number, since 4 + 1 + 4 + 97 + 520 + 40 = 666.

4149752040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4149751986 and 4149752004.

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, 266895 + ... + 282014.

It is an arithmetic number, because the mean of its divisors is an integer number (123504750).

Almost surely, 2^4149752040 is an apocalyptic number.

4149752040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149752040 is an abundant number, since it is smaller than the sum of its proper divisors (11658855960).

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

4149752040 is a wasteful number, since it uses less digits than its factorization.

4149752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548936 (or 548926 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4149752040 is about 64418.5690620337. The cubic root of 4149752040 is about 1606.9685688839.

The spelling of 4149752040 in words is "four billion, one hundred forty-nine million, seven hundred fifty-two thousand, forty".