44068014887400 has 1296 divisors, whose sum is σ = 186132467970540. Its totient is φ = 9309526732800.

The previous prime is 44068014887387. The next prime is 44068014887423. The reversal of 44068014887400 is 478841086044.

44068014887400 is a `hidden beast` number, since 4 + 40 + 6 + 80 + 1 + 48 + 87 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7566383498436 + 36501631388964 = 2750706^2 + 6041658^2 .

It is a super-2 number, since 2×44068014887400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1305431322 + ... + 1305465078.

Almost surely, 2^{44068014887400} is an apocalyptic number.

44068014887400 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 44068014887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93066233985270).

44068014887400 is an abundant number, since it is smaller than the sum of its proper divisors (142064453083140).

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

44068014887400 is a wasteful number, since it uses less digits than its factorization.

44068014887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33872 (or 33834 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 44068014887400 in words is "forty-four trillion, sixty-eight billion, fourteen million, eight hundred eighty-seven thousand, four hundred".