40067706240 has 448 divisors, whose sum is σ = 144793557360. Its totient is φ = 10597257216.

The previous prime is 40067706227. The next prime is 40067706251. The reversal of 40067706240 is 4260776004.

40067706240 is a `hidden beast` number, since 400 + 6 + 7 + 7 + 0 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40067706195 and 40067706204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 73249647 + ... + 73250193.

Almost surely, 2^40067706240 is an apocalyptic number.

40067706240 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 40067706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72396778680).

40067706240 is an abundant number, since it is smaller than the sum of its proper divisors (104725851120).

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

40067706240 is an equidigital number, since it uses as much as digits as its factorization.

40067706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 40067706240 in words is "forty billion, sixty-seven million, seven hundred six thousand, two hundred forty".