4892165994240 has 720 divisors, whose sum is σ = 20107927933632. Its totient is φ = 1112500666368.

The previous prime is 4892165994101. The next prime is 4892165994253. The reversal of 4892165994240 is 424995612984.

4892165994240 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 16 + 599 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 142957612 + ... + 142991828.

Almost surely, 2^{4892165994240} is an apocalyptic number.

4892165994240 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 4892165994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053963966816).

4892165994240 is an abundant number, since it is smaller than the sum of its proper divisors (15215761939392).

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

4892165994240 is a wasteful number, since it uses less digits than its factorization.

4892165994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34454 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4892165994240 in words is "four trillion, eight hundred ninety-two billion, one hundred sixty-five million, nine hundred ninety-four thousand, two hundred forty".