35940253440 has 576 divisors, whose sum is σ = 144224640000. Its totient is φ = 7579385856.

The previous prime is 35940253439. The next prime is 35940253441. The reversal of 35940253440 is 4435204953.

It is an interprime number because it is at equal distance from previous prime (35940253439) and next prime (35940253441).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35940253441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17121511 + ... + 17123609.

It is an arithmetic number, because the mean of its divisors is an integer number (250390000).

Almost surely, 2^35940253440 is an apocalyptic number.

35940253440 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 35940253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320000).

35940253440 is an abundant number, since it is smaller than the sum of its proper divisors (108284386560).

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

35940253440 is a wasteful number, since it uses less digits than its factorization.

35940253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 35940253440 in words is "thirty-five billion, nine hundred forty million, two hundred fifty-three thousand, four hundred forty".