40904038785150 has 240 divisors, whose sum is σ = 115756694222400. Its totient is φ = 10707404048640.

The previous prime is 40904038785101. The next prime is 40904038785151. The reversal of 40904038785150 is 5158783040904.

40904038785150 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 40 + 3 + 87 + 8 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40904038785151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54981856 + ... + 55720844.

It is an arithmetic number, because the mean of its divisors is an integer number (482319559260).

Almost surely, 2^{40904038785150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40904038785150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57878347111200).

40904038785150 is an abundant number, since it is smaller than the sum of its proper divisors (74852655437250).

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

40904038785150 is a wasteful number, since it uses less digits than its factorization.

40904038785150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739265 (or 739251 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 40904038785150 in words is "forty trillion, nine hundred four billion, thirty-eight million, seven hundred eighty-five thousand, one hundred fifty".