1124325400464 has 180 divisors, whose sum is σ = 3680498612700. Its totient is φ = 319460682240.

The previous prime is 1124325400459. The next prime is 1124325400481. The reversal of 1124325400464 is 4640045234211.

1124325400464 is a `hidden beast` number, since 1 + 1 + 24 + 32 + 540 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97224228864 + 1027101171600 = 311808^2 + 1013460^2 .

It is a super-2 number, since 2×1124325400464² (a number of 25 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 836962 + ... + 1717310.

It is an arithmetic number, because the mean of its divisors is an integer number (20447214515).

Almost surely, 2^{1124325400464} is an apocalyptic number.

1124325400464 is a gapful number since it is divisible by the number (14) 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 1124325400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840249306350).

1124325400464 is an abundant number, since it is smaller than the sum of its proper divisors (2556173212236).

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

1124325400464 is a wasteful number, since it uses less digits than its factorization.

1124325400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880558 (or 880542 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1124325400464 in words is "one trillion, one hundred twenty-four billion, three hundred twenty-five million, four hundred thousand, four hundred sixty-four".