35040854016000 has 3200 divisors, whose sum is σ = 159609959308800. Its totient is φ = 7474249728000.

The previous prime is 35040854015983. The next prime is 35040854016011. The reversal of 35040854016000 is 61045804053.

It is a happy number.

35040854016000 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 0 + 8 + 5 + 40 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×35040854016000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 854654975980 + ... + 854654976020.

It is an arithmetic number, because the mean of its divisors is an integer number (49878112284).

Almost surely, 2^{35040854016000} is an apocalyptic number.

35040854016000 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 35040854016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79804979654400).

35040854016000 is an abundant number, since it is smaller than the sum of its proper divisors (124569105292800).

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

35040854016000 is an frugal number, since it uses more digits than its factorization.

35040854016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 35040854016000 in words is "thirty-five trillion, forty billion, eight hundred fifty-four million, sixteen thousand".