43061455941504 has 2048 divisors, whose sum is σ = 165229424640000. Its totient is φ = 9772711280640.

The previous prime is 43061455941473. The next prime is 43061455941587. The reversal of 43061455941504 is 40514955416034.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46352481712 + ... + 46352482640.

It is an arithmetic number, because the mean of its divisors is an integer number (80678430000).

Almost surely, 2^{43061455941504} is an apocalyptic number.

43061455941504 is a gapful number since it is divisible by the number (44) 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 43061455941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82614712320000).

43061455941504 is an abundant number, since it is smaller than the sum of its proper divisors (122167968698496).

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

43061455941504 is a wasteful number, since it uses less digits than its factorization.

43061455941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 43061455941504 in words is "forty-three trillion, sixty-one billion, four hundred fifty-five million, nine hundred forty-one thousand, five hundred four".