15446401601400 has 768 divisors, whose sum is σ = 68472417484800. Its totient is φ = 3106102464000.

The previous prime is 15446401601339. The next prime is 15446401601447. The reversal of 15446401601400 is 410610464451.

15446401601400 is a `hidden beast` number, since 1 + 5 + 4 + 4 + 6 + 4 + 0 + 1 + 601 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12290629 + ... + 13488971.

It is an arithmetic number, because the mean of its divisors is an integer number (89156793600).

Almost surely, 2^{15446401601400} is an apocalyptic number.

15446401601400 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 15446401601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34236208742400).

15446401601400 is an abundant number, since it is smaller than the sum of its proper divisors (53026015883400).

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

15446401601400 is a wasteful number, since it uses less digits than its factorization.

15446401601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198417 (or 1198402 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 15446401601400 in words is "fifteen trillion, four hundred forty-six billion, four hundred one million, six hundred one thousand, four hundred".