40606151040000 has 7040 divisors, whose sum is σ = 206271571968000. Its totient is φ = 7803371520000.

The previous prime is 40606151039999. The next prime is 40606151040001. The reversal of 40606151040000 is 4015160604.

40606151040000 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 615 + 1 + 0 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40606151039999) and next prime (40606151040001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40606151040001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1309875839985 + ... + 1309875840015.

It is an arithmetic number, because the mean of its divisors is an integer number (29299939200).

Almost surely, 2^{40606151040000} is an apocalyptic number.

40606151040000 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 40606151040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103135785984000).

40606151040000 is an abundant number, since it is smaller than the sum of its proper divisors (165665420928000).

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

40606151040000 is a wasteful number, since it uses less digits than its factorization.

40606151040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40606151040000 in words is "forty trillion, six hundred six billion, one hundred fifty-one million, forty thousand".