44292041400 has 192 divisors, whose sum is σ = 149312630880. Its totient is φ = 10815897600.

The previous prime is 44292041393. The next prime is 44292041407. The reversal of 44292041400 is 414029244.

It is an interprime number because it is at equal distance from previous prime (44292041393) and next prime (44292041407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44292041407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318720 + ... + 436080.

Almost surely, 2^44292041400 is an apocalyptic number.

44292041400 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 44292041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74656315440).

44292041400 is an abundant number, since it is smaller than the sum of its proper divisors (105020589480).

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

44292041400 is a wasteful number, since it uses less digits than its factorization.

44292041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117434 (or 117425 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 44292041400 in words is "forty-four billion, two hundred ninety-two million, forty-one thousand, four hundred".