43950551040 has 624 divisors, whose sum is σ = 169742420640. Its totient is φ = 10428088320.

The previous prime is 43950551017. The next prime is 43950551059. The reversal of 43950551040 is 4015505934.

43950551040 is a `hidden beast` number, since 43 + 9 + 505 + 5 + 104 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43950550986 and 43950551004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107458356 + ... + 107458764.

It is an arithmetic number, because the mean of its divisors is an integer number (272023110).

Almost surely, 2^43950551040 is an apocalyptic number.

43950551040 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 43950551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84871210320).

43950551040 is an abundant number, since it is smaller than the sum of its proper divisors (125791869600).

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

43950551040 is a wasteful number, since it uses less digits than its factorization.

43950551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

It can be divided in two parts, 439505 and 51040, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 43950551040 in words is "forty-three billion, nine hundred fifty million, five hundred fifty-one thousand, forty".