201410148240 has 800 divisors, whose sum is σ = 841380148224. Its totient is φ = 43684945920.

The previous prime is 201410148217. The next prime is 201410148259. The reversal of 201410148240 is 42841014102.

201410148240 is a `hidden beast` number, since 2 + 0 + 1 + 410 + 1 + 4 + 8 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68809657 + ... + 68812583.

Almost surely, 2^201410148240 is an apocalyptic number.

201410148240 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 201410148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420690074112).

201410148240 is an abundant number, since it is smaller than the sum of its proper divisors (639969999984).

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

201410148240 is a wasteful number, since it uses less digits than its factorization.

201410148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 201410148240 in words is "two hundred one billion, four hundred ten million, one hundred forty-eight thousand, two hundred forty".