40354554240 has 1024 divisors, whose sum is σ = 191978035200. Its totient is φ = 7737016320.

The previous prime is 40354554221. The next prime is 40354554263. The reversal of 40354554240 is 4245545304.

40354554240 is a `hidden beast` number, since 4 + 0 + 35 + 45 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40354554195 and 40354554204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17296114 + ... + 17298446.

It is an arithmetic number, because the mean of its divisors is an integer number (187478550).

Almost surely, 2^40354554240 is an apocalyptic number.

40354554240 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 40354554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95989017600).

40354554240 is an abundant number, since it is smaller than the sum of its proper divisors (151623480960).

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

40354554240 is a wasteful number, since it uses less digits than its factorization.

40354554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 40354554240 in words is "forty billion, three hundred fifty-four million, five hundred fifty-four thousand, two hundred forty".