40934077367040 has 4032 divisors, whose sum is σ = 180949870467072. Its totient is φ = 8735794790400.

The previous prime is 40934077367021. The next prime is 40934077367059. The reversal of 40934077367040 is 4076377043904.

40934077367040 is a `hidden beast` number, since 40 + 93 + 407 + 7 + 3 + 6 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40934077367021) and next prime (40934077367059).

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 447 ways as a sum of consecutive naturals, for example, 382561470667 + ... + 382561470773.

It is an arithmetic number, because the mean of its divisors is an integer number (44878440096).

Almost surely, 2^{40934077367040} is an apocalyptic number.

40934077367040 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 40934077367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90474935233536).

40934077367040 is an abundant number, since it is smaller than the sum of its proper divisors (140015793100032).

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

40934077367040 is a wasteful number, since it uses less digits than its factorization.

40934077367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 40934077367040 in words is "forty trillion, nine hundred thirty-four billion, seventy-seven million, three hundred sixty-seven thousand, forty".