4240261418400 has 2880 divisors, whose sum is σ = 19600745472000. Its totient is φ = 870265036800.

The previous prime is 4240261418363. The next prime is 4240261418411. The reversal of 4240261418400 is 48141620424.

4240261418400 is a `hidden beast` number, since 4 + 24 + 0 + 2 + 614 + 18 + 4 + 0 + 0 = 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 479 ways as a sum of consecutive naturals, for example, 15763053466 + ... + 15763053734.

It is an arithmetic number, because the mean of its divisors is an integer number (6805814400).

Almost surely, 2^{4240261418400} is an apocalyptic number.

4240261418400 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 4240261418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800372736000).

4240261418400 is an abundant number, since it is smaller than the sum of its proper divisors (15360484053600).

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

4240261418400 is a wasteful number, since it uses less digits than its factorization.

4240261418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4240261418400 in words is "four trillion, two hundred forty billion, two hundred sixty-one million, four hundred eighteen thousand, four hundred".