43551791141040 has 2400 divisors, whose sum is σ = 199416584378880. Its totient is φ = 8595501318144.

The previous prime is 43551791140999. The next prime is 43551791141077. The reversal of 43551791141040 is 4014119715534.

43551791141040 is a `hidden beast` number, since 4 + 3 + 5 + 517 + 9 + 114 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23327150187 + ... + 23327152053.

Almost surely, 2^{43551791141040} is an apocalyptic number.

43551791141040 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 43551791141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99708292189440).

43551791141040 is an abundant number, since it is smaller than the sum of its proper divisors (155864793237840).

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

43551791141040 is a wasteful number, since it uses less digits than its factorization.

43551791141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 43551791141040 in words is "forty-three trillion, five hundred fifty-one billion, seven hundred ninety-one million, one hundred forty-one thousand, forty".