15450944400000 has 1440 divisors, whose sum is σ = 60703568277660. Its totient is φ = 3900441600000.

The previous prime is 15450944399987. The next prime is 15450944400013. The reversal of 15450944400000 is 444905451.

It is an interprime number because it is at equal distance from previous prime (15450944399987) and next prime (15450944400013).

It can be written as a sum of positive squares in 6 ways, for example, as 154147323456 + 15296797076544 = 392616^2 + 3911112^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11696399340 + ... + 11696400660.

Almost surely, 2^{15450944400000} is an apocalyptic number.

15450944400000 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 15450944400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30351784138830).

15450944400000 is an abundant number, since it is smaller than the sum of its proper divisors (45252623877660).

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

15450944400000 is an frugal number, since it uses more digits than its factorization.

15450944400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15450944400000 in words is "fifteen trillion, four hundred fifty billion, nine hundred forty-four million, four hundred thousand".