210134615040 has 704 divisors, whose sum is σ = 876679334400. Its totient is φ = 46724677632.

The previous prime is 210134615029. The next prime is 210134615051. The reversal of 210134615040 is 40516431012.

It is a happy number.

210134615040 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 4 + 615 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (210134615029) and next prime (210134615051).

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 = 210134614995 and 210134615013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35801226 + ... + 35807094.

Almost surely, 2^210134615040 is an apocalyptic number.

210134615040 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 210134615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438339667200).

210134615040 is an abundant number, since it is smaller than the sum of its proper divisors (666544719360).

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

210134615040 is a wasteful number, since it uses less digits than its factorization.

210134615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 210134615040 in words is "two hundred ten billion, one hundred thirty-four million, six hundred fifteen thousand, forty".