40738278672000 has 2560 divisors, whose sum is σ = 187175020032000. Its totient is φ = 8551260979200.

The previous prime is 40738278671977. The next prime is 40738278672061. The reversal of 40738278672000 is 27687283704.

40738278672000 is a `hidden beast` number, since 40 + 73 + 8 + 278 + 67 + 200 + 0 = 666.

It is a super-3 number, since 3×40738278672000³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26299727226 + ... + 26299728774.

It is an arithmetic number, because the mean of its divisors is an integer number (73115242200).

Almost surely, 2^{40738278672000} is an apocalyptic number.

40738278672000 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 40738278672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93587510016000).

40738278672000 is an abundant number, since it is smaller than the sum of its proper divisors (146436741360000).

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

40738278672000 is a wasteful number, since it uses less digits than its factorization.

40738278672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 40738278672000 in words is "forty trillion, seven hundred thirty-eight billion, two hundred seventy-eight million, six hundred seventy-two thousand".