1644153398400 has 1152 divisors, whose sum is σ = 5946814379520. Its totient is φ = 398499840000.

The previous prime is 1644153398399. The next prime is 1644153398401. The reversal of 1644153398400 is 48933514461.

It is an interprime number because it is at equal distance from previous prime (1644153398399) and next prime (1644153398401).

It is a super-3 number, since 3×1644153398400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1644153398400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1644153398401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26953334370 + ... + 26953334430.

It is an arithmetic number, because the mean of its divisors is an integer number (5162165260).

Almost surely, 2^{1644153398400} is an apocalyptic number.

1644153398400 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 1644153398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973407189760).

1644153398400 is an abundant number, since it is smaller than the sum of its proper divisors (4302660981120).

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

1644153398400 is a wasteful number, since it uses less digits than its factorization.

1644153398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1644153398400 in words is "one trillion, six hundred forty-four billion, one hundred fifty-three million, three hundred ninety-eight thousand, four hundred".