35496599040 has 480 divisors, whose sum is σ = 142007785920. Its totient is φ = 8026324992.

The previous prime is 35496599027. The next prime is 35496599051. The reversal of 35496599040 is 4099569453.

35496599040 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 6 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15643026 + ... + 15645294.

It is an arithmetic number, because the mean of its divisors is an integer number (295849554).

Almost surely, 2^35496599040 is an apocalyptic number.

35496599040 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 35496599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71003892960).

35496599040 is an abundant number, since it is smaller than the sum of its proper divisors (106511186880).

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

35496599040 is a wasteful number, since it uses less digits than its factorization.

35496599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 35496599040 in words is "thirty-five billion, four hundred ninety-six million, five hundred ninety-nine thousand, forty".