153000400410 has 96 divisors (see below), whose sum is σ = 467346716928. Its totient is φ = 34237848960.

The previous prime is 153000400381. The next prime is 153000400439. The reversal of 153000400410 is 14004000351.

It is a happy number.

153000400410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153000400381) and next prime (153000400439).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5931202 + ... + 5956941.

It is an arithmetic number, because the mean of its divisors is an integer number (4868194968).

Almost surely, 2^153000400410 is an apocalyptic number.

153000400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153000400410 is an abundant number, since it is smaller than the sum of its proper divisors (314346316518).

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

153000400410 is a wasteful number, since it uses less digits than its factorization.

153000400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888180 (or 11888177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 153000400410 its reverse (14004000351), we get a palindrome (167004400761).

The spelling of 153000400410 in words is "one hundred fifty-three billion, four hundred thousand, four hundred ten".