4190401920 has 128 divisors (see below), whose sum is σ = 13418173440. Its totient is φ = 1112315904.

The previous prime is 4190401913. The next prime is 4190401921. The reversal of 4190401920 is 291040914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4190401920² = 35118936502279372800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190401921) 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, 423267 + ... + 433053.

It is an arithmetic number, because the mean of its divisors is an integer number (104829480).

Almost surely, 2^4190401920 is an apocalyptic number.

4190401920 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 4190401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709086720).

4190401920 is an abundant number, since it is smaller than the sum of its proper divisors (9227771520).

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

4190401920 is a wasteful number, since it uses less digits than its factorization.

4190401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10020 counting only the distinct ones).

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

The square root of 4190401920 is about 64733.3138345319. The cubic root of 4190401920 is about 1612.1986755026.

The spelling of 4190401920 in words is "four billion, one hundred ninety million, four hundred one thousand, nine hundred twenty".