1323758525040 has 400 divisors, whose sum is σ = 5482867788288. Its totient is φ = 289417784832.

The previous prime is 1323758525003. The next prime is 1323758525041. The reversal of 1323758525040 is 405258573231.

1323758525040 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 7 + 585 + 25 + 0 + 40 = 666.

It is a super-4 number, since 4×1323758525040⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323758525041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 408859 + ... + 1677701.

Almost surely, 2^{1323758525040} is an apocalyptic number.

1323758525040 is a gapful number since it is divisible by the number (10) 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 1323758525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741433894144).

1323758525040 is an abundant number, since it is smaller than the sum of its proper divisors (4159109263248).

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

1323758525040 is a wasteful number, since it uses less digits than its factorization.

1323758525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268898 (or 1268883 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1323758525040 in words is "one trillion, three hundred twenty-three billion, seven hundred fifty-eight million, five hundred twenty-five thousand, forty".