35640141152 has 96 divisors (see below), whose sum is σ = 87548719104. Its totient is φ = 13874918400.

The previous prime is 35640141143. The next prime is 35640141161. The reversal of 35640141152 is 25114104653.

It is an interprime number because it is at equal distance from previous prime (35640141143) and next prime (35640141161).

It is a super-2 number, since 2×35640141152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3619628 + ... + 3629460.

It is an arithmetic number, because the mean of its divisors is an integer number (911965824).

Almost surely, 2^35640141152 is an apocalyptic number.

35640141152 is a gapful number since it is divisible by the number (32) 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 35640141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43774359552).

35640141152 is an abundant number, since it is smaller than the sum of its proper divisors (51908577952).

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

35640141152 is a wasteful number, since it uses less digits than its factorization.

35640141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 35640141152 in words is "thirty-five billion, six hundred forty million, one hundred forty-one thousand, one hundred fifty-two".