4290356474880 has 1408 divisors, whose sum is σ = 17233316352000. Its totient is φ = 888841175040.

The previous prime is 4290356474869. The next prime is 4290356474881. The reversal of 4290356474880 is 884746530924.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290356474881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8234849020 + ... + 8234849540.

Almost surely, 2^{4290356474880} is an apocalyptic number.

4290356474880 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 4290356474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616658176000).

4290356474880 is an abundant number, since it is smaller than the sum of its proper divisors (12942959877120).

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

4290356474880 is a wasteful number, since it uses less digits than its factorization.

4290356474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 4290356474880 in words is "four trillion, two hundred ninety billion, three hundred fifty-six million, four hundred seventy-four thousand, eight hundred eighty".