4192838640 has 120 divisors (see below), whose sum is σ = 14602534128. Its totient is φ = 1118085120.

The previous prime is 4192838633. The next prime is 4192838669. The reversal of 4192838640 is 468382914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4192838640² = 35159791722154099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88401 + ... + 127280.

Almost surely, 2^4192838640 is an apocalyptic number.

4192838640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4192838640 is an abundant number, since it is smaller than the sum of its proper divisors (10409695488).

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

4192838640 is a wasteful number, since it uses less digits than its factorization.

4192838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215709 (or 215691 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4192838640 is about 64752.1323201020. The cubic root of 4192838640 is about 1612.5111129575.

The spelling of 4192838640 in words is "four billion, one hundred ninety-two million, eight hundred thirty-eight thousand, six hundred forty".