1420115915520 has 1152 divisors, whose sum is σ = 5416724275200. Its totient is φ = 351518441472.

The previous prime is 1420115915479. The next prime is 1420115915521. The reversal of 1420115915520 is 255195110241.

1420115915520 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 15 + 91 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1420115915521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5018077299 + ... + 5018077581.

It is an arithmetic number, because the mean of its divisors is an integer number (4702017600).

Almost surely, 2^{1420115915520} is an apocalyptic number.

1420115915520 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 1420115915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708362137600).

1420115915520 is an abundant number, since it is smaller than the sum of its proper divisors (3996608359680).

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

1420115915520 is a wasteful number, since it uses less digits than its factorization.

1420115915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 1420115915520 in words is "one trillion, four hundred twenty billion, one hundred fifteen million, nine hundred fifteen thousand, five hundred twenty".