153402460641400 has 96 divisors (see below), whose sum is σ = 373341743036640. Its totient is φ = 58507963036160.

The previous prime is 153402460641343. The next prime is 153402460641401. The reversal of 153402460641400 is 4146064204351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402460641401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51141739 + ... + 54058138.

It is an arithmetic number, because the mean of its divisors is an integer number (3888976489965).

Almost surely, 2^{153402460641400} is an apocalyptic number.

153402460641400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153402460641400 is an abundant number, since it is smaller than the sum of its proper divisors (219939282395240).

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

153402460641400 is a wasteful number, since it uses less digits than its factorization.

153402460641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105200233 (or 105200224 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 153402460641400 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty million, six hundred forty-one thousand, four hundred".