40001667471360 has 2592 divisors, whose sum is σ = 173655998334000. Its totient is φ = 8806885097472.

The previous prime is 40001667471341. The next prime is 40001667471377. The reversal of 40001667471360 is 6317476610004.

40001667471360 is a `hidden beast` number, since 400 + 0 + 16 + 67 + 47 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 215 ways as a sum of consecutive naturals, for example, 95469373231 + ... + 95469373649.

Almost surely, 2^{40001667471360} is an apocalyptic number.

40001667471360 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 40001667471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86827999167000).

40001667471360 is an abundant number, since it is smaller than the sum of its proper divisors (133654330862640).

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

40001667471360 is an frugal number, since it uses more digits than its factorization.

40001667471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 40001667471360 in words is "forty trillion, one billion, six hundred sixty-seven million, four hundred seventy-one thousand, three hundred sixty".