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40407053664 = 25331211229281
BaseRepresentation
bin100101101000011100…
…101011010101100000
310212022001000000011010
4211220130223111200
51130223201204124
630321315220520
72630216201115
oct455034532540
9125261000133
1040407053664
111615580152a
1279b82a7740
133a6c4c3613
141d5468a90c
1510b75e0529
hex96872b560

40407053664 has 192 divisors, whose sum is σ = 110882580480. Its totient is φ = 12870144000.

The previous prime is 40407053663. The next prime is 40407053677. The reversal of 40407053664 is 46635070404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40407053663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143797204 + ... + 143797484.

It is an arithmetic number, because the mean of its divisors is an integer number (577513440).

Almost surely, 240407053664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40407053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55441290240).

40407053664 is an abundant number, since it is smaller than the sum of its proper divisors (70475526816).

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

40407053664 is a wasteful number, since it uses less digits than its factorization.

40407053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 40407053664 in words is "forty billion, four hundred seven million, fifty-three thousand, six hundred sixty-four".