84074941440 has 440 divisors, whose sum is σ = 344328522912. Its totient is φ = 19216465920.

The previous prime is 84074941429. The next prime is 84074941441. The reversal of 84074941440 is 4414947048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84074941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2888560 + ... + 2917520.

Almost surely, 2^84074941440 is an apocalyptic number.

84074941440 is a gapful number since it is divisible by the number (80) 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 84074941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172164261456).

84074941440 is an abundant number, since it is smaller than the sum of its proper divisors (260253581472).

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

84074941440 is a wasteful number, since it uses less digits than its factorization.

84074941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29005 (or 28978 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 84074941440 in words is "eighty-four billion, seventy-four million, nine hundred forty-one thousand, four hundred forty".