1002153540420 has 144 divisors (see below), whose sum is σ = 3388085850240. Its totient is φ = 238282933248.

The previous prime is 1002153540379. The next prime is 1002153540433. The reversal of 1002153540420 is 240453512001.

1002153540420 is a `hidden beast` number, since 10 + 0 + 21 + 53 + 540 + 42 + 0 = 666.

It is a super-3 number, since 3×1002153540420³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8560312 + ... + 8676591.

It is an arithmetic number, because the mean of its divisors is an integer number (23528373960).

Almost surely, 2^{1002153540420} is an apocalyptic number.

1002153540420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002153540420 is an abundant number, since it is smaller than the sum of its proper divisors (2385932309820).

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

1002153540420 is a wasteful number, since it uses less digits than its factorization.

1002153540420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17236954 (or 17236949 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1002153540420 in words is "one trillion, two billion, one hundred fifty-three million, five hundred forty thousand, four hundred twenty".