4295041920 has 384 divisors, whose sum is σ = 16373448000. Its totient is φ = 1030717440.

The previous prime is 4295041913. The next prime is 4295041963. The reversal of 4295041920 is 291405924.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3069381 + ... + 3070779.

Almost surely, 2^4295041920 is an apocalyptic number.

4295041920 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 4295041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186724000).

4295041920 is an abundant number, since it is smaller than the sum of its proper divisors (12078406080).

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

4295041920 is a wasteful number, since it uses less digits than its factorization.

4295041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4295041920 is about 65536.5693334645. The cubic root of 4295041920 is about 1625.5080913741.

The spelling of 4295041920 in words is "four billion, two hundred ninety-five million, forty-one thousand, nine hundred twenty".