153220435434400 has 144 divisors (see below), whose sum is σ = 375482348841600. Its totient is φ = 61053624857600.

The previous prime is 153220435434397. The next prime is 153220435434401. The reversal of 153220435434400 is 4434534022351.

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

It is not an unprimeable number, because it can be changed into a prime (153220435434401) 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, 407097501 + ... + 407473699.

It is an arithmetic number, because the mean of its divisors is an integer number (2607516311400).

Almost surely, 2^{153220435434400} is an apocalyptic number.

153220435434400 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 153220435434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187741174420800).

153220435434400 is an abundant number, since it is smaller than the sum of its proper divisors (222261913407200).

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

153220435434400 is a wasteful number, since it uses less digits than its factorization.

153220435434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378167 (or 378154 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 153220435434400 its reverse (4434534022351), we get a palindrome (157654969456751).

The spelling of 153220435434400 in words is "one hundred fifty-three trillion, two hundred twenty billion, four hundred thirty-five million, four hundred thirty-four thousand, four hundred".