40726728411840 has 1008 divisors, whose sum is σ = 150482792199168. Its totient is φ = 10093870080000.

The previous prime is 40726728411823. The next prime is 40726728411851. The reversal of 40726728411840 is 4811482762704.

It is a happy number.

40726728411840 is a `hidden beast` number, since 4 + 0 + 72 + 67 + 28 + 411 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14285066415 + ... + 14285069265.

Almost surely, 2^{40726728411840} is an apocalyptic number.

40726728411840 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 40726728411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75241396099584).

40726728411840 is an abundant number, since it is smaller than the sum of its proper divisors (109756063787328).

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

40726728411840 is a wasteful number, since it uses less digits than its factorization.

40726728411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40726728411840 in words is "forty trillion, seven hundred twenty-six billion, seven hundred twenty-eight million, four hundred eleven thousand, eight hundred forty".