44461429286400 has 2880 divisors, whose sum is σ = 204968801157120. Its totient is φ = 9314478489600.

The previous prime is 44461429286383. The next prime is 44461429286489. The reversal of 44461429286400 is 468292416444.

44461429286400 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 142 + 92 + 8 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×44461429286400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12824177467 + ... + 12824180933.

It is an arithmetic number, because the mean of its divisors is an integer number (71169722624).

Almost surely, 2^{44461429286400} is an apocalyptic number.

44461429286400 is a gapful number since it is divisible by the number (40) 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 44461429286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102484400578560).

44461429286400 is an abundant number, since it is smaller than the sum of its proper divisors (160507371870720).

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

44461429286400 is a wasteful number, since it uses less digits than its factorization.

44461429286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 44461429286400 in words is "forty-four trillion, four hundred sixty-one billion, four hundred twenty-nine million, two hundred eighty-six thousand, four hundred".