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40641466404 = 223711294913089
BaseRepresentation
bin100101110110011010…
…111001000000100100
310212220101002101222110
4211312122321000210
51131213203411104
630400451401020
72636063523150
oct456632710044
9125811071873
1040641466404
1116266059270
127a628b3170
133aa8c39296
141d7786a060
1510cce95e89
hex9766b9024

40641466404 has 192 divisors, whose sum is σ = 122595379200. Its totient is φ = 10168166400.

The previous prime is 40641466403. The next prime is 40641466447. The reversal of 40641466404 is 40466414604.

It is not an unprimeable number, because it can be changed into a prime (40641466403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13155292 + ... + 13158380.

It is an arithmetic number, because the mean of its divisors is an integer number (638517600).

Almost surely, 240641466404 is an apocalyptic number.

40641466404 is a gapful number since it is divisible by the number (44) 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 40641466404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61297689600).

40641466404 is an abundant number, since it is smaller than the sum of its proper divisors (81953912796).

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

40641466404 is a wasteful number, since it uses less digits than its factorization.

40641466404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 40641466404 in words is "forty billion, six hundred forty-one million, four hundred sixty-six thousand, four hundred four".