201510167040 has 1600 divisors, whose sum is σ = 908349361920. Its totient is φ = 41564897280.

The previous prime is 201510166849. The next prime is 201510167059. The reversal of 201510167040 is 40761015102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201510166995 and 201510167013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1113315750 + ... + 1113315930.

Almost surely, 2^201510167040 is an apocalyptic number.

201510167040 is a gapful number since it is divisible by the number (20) 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 201510167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454174680960).

201510167040 is an abundant number, since it is smaller than the sum of its proper divisors (706839194880).

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

201510167040 is a wasteful number, since it uses less digits than its factorization.

201510167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 201510167040 in words is "two hundred one billion, five hundred ten million, one hundred sixty-seven thousand, forty".