35849225971440 has 2880 divisors, whose sum is σ = 158076304468992. Its totient is φ = 7223692492800.

The previous prime is 35849225971373. The next prime is 35849225971441. The reversal of 35849225971440 is 4417952294853.

It is a happy number.

35849225971440 is a `hidden beast` number, since 3 + 5 + 8 + 4 + 9 + 22 + 597 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35849225971441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82792669464 + ... + 82792669896.

Almost surely, 2^{35849225971440} is an apocalyptic number.

35849225971440 is a gapful number since it is divisible by the number (30) 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 35849225971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79038152234496).

35849225971440 is an abundant number, since it is smaller than the sum of its proper divisors (122227078497552).

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

35849225971440 is a wasteful number, since it uses less digits than its factorization.

35849225971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 35849225971440 in words is "thirty-five trillion, eight hundred forty-nine billion, two hundred twenty-five million, nine hundred seventy-one thousand, four hundred forty".