153401610240 has 1040 divisors, whose sum is σ = 601326865920. Its totient is φ = 37265080320.

The previous prime is 153401610239. The next prime is 153401610247. The reversal of 153401610240 is 42016104351.

It is a happy number.

153401610240 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 0 + 1 + 610 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153401610247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 977080242 + ... + 977080398.

Almost surely, 2^153401610240 is an apocalyptic number.

153401610240 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 153401610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300663432960).

153401610240 is an abundant number, since it is smaller than the sum of its proper divisors (447925255680).

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

153401610240 is a wasteful number, since it uses less digits than its factorization.

153401610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

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

Adding to 153401610240 its reverse (42016104351), we get a palindrome (195417714591).

The spelling of 153401610240 in words is "one hundred fifty-three billion, four hundred one million, six hundred ten thousand, two hundred forty".