40954956261120 has 1728 divisors, whose sum is σ = 161733534842880. Its totient is φ = 9481096396800.

The previous prime is 40954956261091. The next prime is 40954956261133. The reversal of 40954956261120 is 2116265945904.

It is a happy number.

40954956261120 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 4 + 9 + 5 + 626 + 1 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64904843205 + ... + 64904843835.

Almost surely, 2^{40954956261120} is an apocalyptic number.

40954956261120 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 40954956261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80866767421440).

40954956261120 is an abundant number, since it is smaller than the sum of its proper divisors (120778578581760).

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

40954956261120 is a wasteful number, since it uses less digits than its factorization.

40954956261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 40954956261120 in words is "forty trillion, nine hundred fifty-four billion, nine hundred fifty-six million, two hundred sixty-one thousand, one hundred twenty".