224457411335440 has 80 divisors (see below), whose sum is σ = 533896979584896. Its totient is φ = 87735066675200.

The previous prime is 224457411335429. The next prime is 224457411335471. The reversal of 224457411335440 is 44533114754422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224457411335440² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174212806 + ... + 175496485.

Almost surely, 2^{224457411335440} is an apocalyptic number.

224457411335440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224457411335440 is an abundant number, since it is smaller than the sum of its proper divisors (309439568249456).

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

224457411335440 is a wasteful number, since it uses less digits than its factorization.

224457411335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349709488 (or 349709482 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 49.

The spelling of 224457411335440 in words is "two hundred twenty-four trillion, four hundred fifty-seven billion, four hundred eleven million, three hundred thirty-five thousand, four hundred forty".