40675649178240 has 512 divisors, whose sum is σ = 152120428704000. Its totient is φ = 10243511009280.

The previous prime is 40675649178233. The next prime is 40675649178247. The reversal of 40675649178240 is 4287194657604.

40675649178240 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 56 + 491 + 78 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40675649178233) and next prime (40675649178247).

It is not an unprimeable number, because it can be changed into a prime (40675649178247) 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, 103882030 + ... + 104272850.

Almost surely, 2^{40675649178240} is an apocalyptic number.

40675649178240 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 40675649178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76060214352000).

40675649178240 is an abundant number, since it is smaller than the sum of its proper divisors (111444779525760).

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

40675649178240 is a wasteful number, since it uses less digits than its factorization.

40675649178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391185 (or 391167 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 40675649178240 in words is "forty trillion, six hundred seventy-five billion, six hundred forty-nine million, one hundred seventy-eight thousand, two hundred forty".