35214899040 has 384 divisors, whose sum is σ = 125764410240. Its totient is φ = 9316270080.

The previous prime is 35214899039. The next prime is 35214899051. The reversal of 35214899040 is 4099841253.

35214899040 is a `hidden beast` number, since 3 + 521 + 4 + 89 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×35214899040² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54937120 + ... + 54937760.

It is an arithmetic number, because the mean of its divisors is an integer number (327511485).

Almost surely, 2^35214899040 is an apocalyptic number.

35214899040 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 35214899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62882205120).

35214899040 is an abundant number, since it is smaller than the sum of its proper divisors (90549511200).

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

35214899040 is an equidigital number, since it uses as much as digits as its factorization.

35214899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 35214899040 in words is "thirty-five billion, two hundred fourteen million, eight hundred ninety-nine thousand, forty".