35118752221440 has 1152 divisors, whose sum is σ = 128401136640000. Its totient is φ = 9200049610752.

The previous prime is 35118752221411. The next prime is 35118752221459. The reversal of 35118752221440 is 4412225781153.

It is a happy number.

35118752221440 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 87 + 522 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 83815637551 + ... + 83815637969.

It is an arithmetic number, because the mean of its divisors is an integer number (111459320000).

Almost surely, 2^{35118752221440} is an apocalyptic number.

35118752221440 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 35118752221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64200568320000).

35118752221440 is an abundant number, since it is smaller than the sum of its proper divisors (93282384418560).

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

35118752221440 is an frugal number, since it uses more digits than its factorization.

35118752221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 35118752221440 in words is "thirty-five trillion, one hundred eighteen billion, seven hundred fifty-two million, two hundred twenty-one thousand, four hundred forty".