83402483005440 has 576 divisors, whose sum is σ = 303477481681920. Its totient is φ = 21143075880960.

The previous prime is 83402483005397. The next prime is 83402483005451. The reversal of 83402483005440 is 4450038420438.

It is a happy number.

83402483005440 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 24 + 83 + 0 + 0 + 544 + 0 = 666.

83402483005440 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 345387145 + ... + 345628535.

It is an arithmetic number, because the mean of its divisors is an integer number (526870627920).

Almost surely, 2^{83402483005440} is an apocalyptic number.

83402483005440 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 83402483005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151738740840960).

83402483005440 is an abundant number, since it is smaller than the sum of its proper divisors (220074998676480).

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

83402483005440 is a wasteful number, since it uses less digits than its factorization.

83402483005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241610 (or 241587 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 83402483005440 in words is "eighty-three trillion, four hundred two billion, four hundred eighty-three million, five thousand, four hundred forty".