40109752454400 has 1728 divisors, whose sum is σ = 164508110807040. Its totient is φ = 9514539417600.

The previous prime is 40109752454371. The next prime is 40109752454479. The reversal of 40109752454400 is 445425790104.

40109752454400 is a `hidden beast` number, since 4 + 0 + 10 + 9 + 75 + 24 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3915815679 + ... + 3915825921.

Almost surely, 2^{40109752454400} is an apocalyptic number.

40109752454400 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 40109752454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82254055403520).

40109752454400 is an abundant number, since it is smaller than the sum of its proper divisors (124398358352640).

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

40109752454400 is a wasteful number, since it uses less digits than its factorization.

40109752454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40109752454400 in words is "forty trillion, one hundred nine billion, seven hundred fifty-two million, four hundred fifty-four thousand, four hundred".