40034525640840 has 256 divisors, whose sum is σ = 141324647616000. Its totient is φ = 10046009180160.

The previous prime is 40034525640829. The next prime is 40034525640871. The reversal of 40034525640840 is 4804652543004.

40034525640840 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 4 + 5 + 2 + 564 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99696381 + ... + 100097139.

It is an arithmetic number, because the mean of its divisors is an integer number (552049404750).

Almost surely, 2^{40034525640840} is an apocalyptic number.

40034525640840 is a gapful number since it is divisible by the number (40) 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 40034525640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70662323808000).

40034525640840 is an abundant number, since it is smaller than the sum of its proper divisors (101290121975160).

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

40034525640840 is a wasteful number, since it uses less digits than its factorization.

40034525640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406237 (or 406227 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 40034525640840 in words is "forty trillion, thirty-four billion, five hundred twenty-five million, six hundred forty thousand, eight hundred forty".