4298192640 has 576 divisors, whose sum is σ = 17699404800. Its totient is φ = 967458816.

The previous prime is 4298192617. The next prime is 4298192641. The reversal of 4298192640 is 462918924.

4298192640 is a `hidden beast` number, since 429 + 81 + 92 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298192641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26369199 + ... + 26369361.

Almost surely, 2^4298192640 is an apocalyptic number.

4298192640 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 4298192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849702400).

4298192640 is an abundant number, since it is smaller than the sum of its proper divisors (13401212160).

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

4298192640 is a wasteful number, since it uses less digits than its factorization.

4298192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4298192640 is about 65560.6028038181. The cubic root of 4298192640 is about 1625.9054696477.

The spelling of 4298192640 in words is "four billion, two hundred ninety-eight million, one hundred ninety-two thousand, six hundred forty".