4291504401600 has 1008 divisors, whose sum is σ = 17061305089920. Its totient is φ = 1015831756800.

The previous prime is 4291504401599. The next prime is 4291504401637. The reversal of 4291504401600 is 61044051924.

4291504401600 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 5 + 0 + 4 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1471203342 + ... + 1471206258.

Almost surely, 2^{4291504401600} is an apocalyptic number.

4291504401600 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 4291504401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530652544960).

4291504401600 is an abundant number, since it is smaller than the sum of its proper divisors (12769800688320).

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

4291504401600 is a wasteful number, since it uses less digits than its factorization.

4291504401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4291504401600 in words is "four trillion, two hundred ninety-one billion, five hundred four million, four hundred one thousand, six hundred".