4290037486560 has 1920 divisors, whose sum is σ = 18257145984000. Its totient is φ = 947865784320.

The previous prime is 4290037486543. The next prime is 4290037486601. The reversal of 4290037486560 is 656847300924.

4290037486560 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 0 + 3 + 74 + 8 + 6 + 560 = 666.

4290037486560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4290037486497 and 4290037486506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30863578971 + ... + 30863579109.

It is an arithmetic number, because the mean of its divisors is an integer number (9508930200).

Almost surely, 2^{4290037486560} is an apocalyptic number.

4290037486560 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 4290037486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128572992000).

4290037486560 is an abundant number, since it is smaller than the sum of its proper divisors (13967108497440).

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

4290037486560 is a wasteful number, since it uses less digits than its factorization.

4290037486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4290037486560 in words is "four trillion, two hundred ninety billion, thirty-seven million, four hundred eighty-six thousand, five hundred sixty".