1952315043840 has 1872 divisors, whose sum is σ = 8576975646720. Its totient is φ = 408004853760.

The previous prime is 1952315043829. The next prime is 1952315043907. The reversal of 1952315043840 is 483405132591.

1952315043840 is a `hidden beast` number, since 1 + 9 + 5 + 23 + 150 + 438 + 40 = 666.

It is a super-2 number, since 2×1952315043840² (a number of 25 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5319659337 + ... + 5319659703.

It is an arithmetic number, because the mean of its divisors is an integer number (4581717760).

Almost surely, 2^{1952315043840} is an apocalyptic number.

1952315043840 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 1952315043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288487823360).

1952315043840 is an abundant number, since it is smaller than the sum of its proper divisors (6624660602880).

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

1952315043840 is a wasteful number, since it uses less digits than its factorization.

1952315043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1952315043840 in words is "one trillion, nine hundred fifty-two billion, three hundred fifteen million, forty-three thousand, eight hundred forty".